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Finding the Third Proportional to 430,490 and 849,940

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Solution

The third proportional to 430,490 and 849,940 is: 1,678,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,490 : 849,940 = 849,940 : x
  2. Step 2: Convert to fraction form
    430,490/849,940 = 849,940/x
  3. Step 3: Cross multiply
    430,490x = 849,940 × 849,940
  4. Step 4: Simplify right side
    430,490x = 722,398,003,600
  5. Step 5: Solve for x
    x = 722,398,003,600/430,490
  6. Step 6: Final answer
    x = 1,678,083.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.